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strojnjashka [21]

3 years ago

13

Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if

necessary. C=15x+150 And R=45x

1 answer:

BigorU [14]3 years ago

5 0

Answer:

$x = 5$

$R = C = 225$

Step-by-step explanation:

Given

$C = 15x + 150$

$R = 45x$

Required

The break even point

To do this, we make use of:

$R =C$

$45x=15x + 150$

Collect Like Terms

$45x-15x = 150$

$30x = 150$

$x = 5$

Substitute 5 for x in $R = 45x$

$R = 45 * 5$

$R = 225$

Hence, the break even point is:

$x = 5$

$R = C = 225$

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Read 2 more answers

An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear he

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Answer:

The age of the spear head is of 1938 yers.

Step-by-step explanation:

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$Q(t) = Q(0)e^{-rt}$

In which Q(0) is the initial amount and r is the decay rate.

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This means that $Q(5700) = 0.5Q(0)$

So

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$0.5Q(0) = Q(0)e^{-5700r}$

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$-5700r = \ln{0.5}$

$5700r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{5700}$

$r = 0.00012160476$

So

$Q(t) = Q(0)e^{-0.00012160476t}$

We have to find:

t for which Q(t) = 0.79Q(0). So

$Q(t) = Q(0)e^{-0.00012160476t}$

$0.79Q(0) = Q(0)e^{-0.00012160476t}$

$e^{-0.00012160476t} = 0.79$

$\ln{e^{-0.00012160476t}} = \ln{0.79}$

$-0.00012160476t = \ln{0.79}$

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$t = \frac{-\ln{0.79}}{0.00012160476}$

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Rounding to the nearest year.

The age of the spear head is of 1938 yers.

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